Provides a sufficient condition to construct high-dimensional genuinely entangled subspaces from UBBs with 1-distillability across bipartitions, proves LOCC indistinguishability of UBBs, and exhibits a UBB violating the strong nonlocality no-go condition.
Therefore, bimarginals of an arbitrary projector P(n) have rank at least n + 1 which assures distillability of the normalized projectors across every bipartition
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Genuinely entangled subspaces beyond strongly nonlocal unextendible biseparable bases
Provides a sufficient condition to construct high-dimensional genuinely entangled subspaces from UBBs with 1-distillability across bipartitions, proves LOCC indistinguishability of UBBs, and exhibits a UBB violating the strong nonlocality no-go condition.